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141721536672 = 2532672109621
BaseRepresentation
bin1000001111111101000…
…0110000100010100000
3111112210211002000002200
42003333100300202200
54310221203133142
6145034520213200
713144664120442
oct2037720604240
9445724060080
10141721536672
1155116127121
122357230a200
131049743c251
146c0611c492
153a46e2b64c
hex20ff4308a0

141721536672 has 108 divisors (see below), whose sum is σ = 409129364826. Its totient is φ = 46535005440.

The previous prime is 141721536641. The next prime is 141721536743. The reversal of 141721536672 is 276635127141.

141721536672 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 215 + 366 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113485439376 + 28236097296 = 336876^2 + 168036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1238022 + ... + 1347642.

Almost surely, 2141721536672 is an apocalyptic number.

141721536672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141721536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204564682413).

141721536672 is an abundant number, since it is smaller than the sum of its proper divisors (267407828154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141721536672 is a wasteful number, since it uses less digits than its factorization.

141721536672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109771 (or 109693 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 141721536672 in words is "one hundred forty-one billion, seven hundred twenty-one million, five hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4489 4824 6432 8978 9648 13467 17956 19296 26934 35912 40401 53868 71824 80802 107736 109621 143648 161604 215472 219242 323208 328863 430944 438484 646416 657726 876968 986589 1292832 1315452 1753936 1973178 2630904 3507872 3946356 5261808 7344607 7892712 10523616 14689214 15785424 22033821 29378428 31570848 44067642 58756856 66101463 88135284 117513712 132202926 176270568 235027424 264405852 352541136 492088669 528811704 705082272 984177338 1057623408 1476266007 1968354676 2115246816 2952532014 3936709352 4428798021 5905064028 7873418704 8857596042 11810128056 15746837408 17715192084 23620256112 35430384168 47240512224 70860768336 141721536672